What is the basic difference between rational and irrational numbers ?
Answers
Answer:
Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. Step-by-step explanation:Rational Numbers
The term ratio came from the word ratio which means the comparison of any two quantities and represented in the simpler form of a fraction. A number is considered as a rational number if it can be expressed in the form of a/b where both a (numerator) and b(denominator) are integers. The denominator of a rational number is a natural number(a non-zero number). Integers, fractions including mixed fraction, recurring decimals, finite decimals etc
all come under the category of rational numbers.
Irrational Numbers
A number is considered as an irrational number if it cannot be able to simply further to any fraction of a natural number and an integer. The decimal expansion of irrational numbers is neither finite nor recurring. Irrational numbers include surds and special numbers such as π. The most common form of an irrational number is pi (π). A surd is a non-perfect square or cube which cannot be simplified further to remove square root or cube root.